Every week, Mrs Reggie collected 75% more vitamin pills than Mrs Owen from the pharmacy. They each consumed 14 vitamins weekly and would leave the rest for their family members to consume the rest. After some time, both ladies consumed a total of 504 vitamin pills and Mrs Reggie's family members consumed 432 more vitamin pills than Mrs Owen's family. How many members were there in Mrs Reggie's family, if they each consumed 14 pills weekly? How many vitamin pills did Mrs Owen collect from the pharmacy each week?
(a)
75% + 100% = 175%
175% = ¹⁷⁵₁₀₀ = ⁷₄

Number of pills Mrs. Owen collected in total = 4 u
Number of pills Mrs. Reggie collected in total = 7 u

Total pills eaten per week by Mrs. Owen and Mrs. Reggie
= 14 + 14
= 28

Number of weeks
= 504 ÷ 28
= 18

Difference in the number of pills Mrs. Reggie's family consumed more than Mrs. Owen's family
= 7 u - 4 u
= 3 u

3 u = 432

1 u = 432 ÷ 3 = 144

Number of pills that Mrs. Reggie collected in total
= 7 u
= 7 x 144
= 1008

Number of pills that Mrs. Reggie's family consumed per week
= 1008 ÷ 18
= 56

Number of members in Mrs. Reggie's family
= 56 ÷ 14
= 4

(b)
Number of pills that Mrs. Owen collected in total
= 4 u
= 4 x 144
= 576

Number of pills that Mrs. Owen collected each week
= 576 ÷ 18
= 32

Answer(s): (a) 4; (b) 32